Solution of Linear Volterra Integral Equations of First and Second Kind by Using Elzaki Transform

Abstract

In recent decades, the use of integral transforms becomes a powerful tool to solve problems in science and engineering. Integral transforms have been used to find the solution to problems governed by ordinary and partial differential equations and special types of integral equations. The integral transforms aim to transform a given problem into a simpler form that can be solved easily. The integral transforms are used to find the solution to initial value problems. The integral transforms are also useful in the evaluation of certain integrals and the solution of certain differential equations, partial differential equations, and integral equations. In this paper, we have applied a new integral transform ieElzaki Transform for the solution of linear Volterra integral equation of the first and second and some numerical examples done with the proposed scheme.